Thanks, guys.
If you intend to do solos in the US, I don't think you would need to have one JAA exam done, because you'll be flying those solos on an FAA student pilot license and all they require is a very simple 17-question exam on a few specific things with regards to solo flight (not in class B airspace for instance) and the local environment.
Aha. Well that's more straightforward than seven exams!
Slightly off-topic - but am I right in thinking that on the CAA PPL course, there are certain exams that need to be passed before first solo? I guess that if I was doing the CAA course in the US, there would be an interesting mixture of FAA and CAA regulations in effect. But clearly the six organisations that do this know the score.
(Incidentally, I posted earlier with the names and web links for all six organisations that do this according to the CAA, for the benefit of anyone searching the forum in future - but with all those links in it, it got diverted to the moderator! Doh. Maybe the post will appear tomorrow.)